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2 years ago

What is the midpoint of (-1,1) and (-6,3)

Mathematics

1 answer:

Radda [10]2 years ago

6 0

The midpoint of the line segment joining the two points as given in the task content is; (-7/2, 2).

<h3>What is the midpoint of the two points given in the task content?</h3>

According to the task content, the two points given whose midpoint is to be determined are; (-1,1) and (-6,3).

It therefore follows from geometry that the midpoint of the two points can be determined as follows;

x- and y-coordinate of the midpoint can be determined as follows;

x = (x1 + x2)/2

y = (y1 + y2)/2

Hence, the coordinates of the midpoint upon substitution of values are such that;

Midpoint, M = ((-1+(-6))/2 , (1+3)/2)

M = (-7/2, 2)

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3 years ago

What is the remainder of the quantity 5 x cubed plus 7 x plus 5 end quantity divided by the quantity x plus 2 end quantity? Show

jarptica [38.1K]

The remainder of the polynomial equation is -49

<h3>What is a remainder of a polynomial equation?</h3>

The remainder of a quantity in an algebraic expression of a polynomial equation is the remaining amount of the quantity left and can not be divisible by the divisor.

From the given information, we are to find the remainder of the given algebraic equation:

$\mathbf{= \dfrac{5x^3+7x+5}{x+2} }$

Using the long division method, we have:

$\mathbf{= \dfrac{5x^3+7x+5}{x+2} } \implies \mathbf{5x^2 + \dfrac{-10x^2+7x+5}{x+2}}$

Divide by $\mathbf{ \dfrac{-10x^2+7x+5}{x+2}}$ , we have:

$\mathbf{= 5x^2- 10x+ \dfrac{27x+5}{x+2}}$

Divide by $\mathbf{\dfrac{27x+5}{x+2}}$ , we have:

$\mathbf{= 5x^2- 10x+ 27 +\dfrac{-49}{x+2}}$

Learn more about finding the remainder of a polynomial equation here:

brainly.com/question/24978997

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2 years ago

Line t has an equation of y=10x-8. Line u is perpendicular to line t and passes through (-10,-6). What is the equation of line u

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1 year ago